What is the average rate of change for the function f(x) = –4x2 + 1 over the interval –3/2 ≤ x ≤ 0?

Answer:

4pi

Step-by-step explanati

Answer:

10x+9

Step-by-step explanation:

Since 4, 5, and 1x are all x terms you add them up. So 4x+5x+1x=10x. The same goes for 7 and 2, except they are non-x terms. So 7+2= 9. That means that the final answer is 10x+9.

Hope this helps!

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

Answer:

OPTION A AND B.

AS OPTION A IS 3/5=6/10=60%

Option C=60/100=60%

Answer:

the first and the last option

Step-by-step explanation:

In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%

3/5 = 0.6

0.6 = 60%

*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*

in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%

5/10 = 1/2 = 0.5 = 50%

in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%

6/10 = 0.6 = 60%

hope this helps! if you have any questions, let me know!

Answer:

see explanation

Step-by-step explanation:

Given

10 - 3x < x + 30 ( subtract x from both sides )

10 - 4x < 30 ( subtract 10 from both sides )

- 4x < 20 ( divide both sides by - 4 and flip the sign )

x > - 5

Answer:

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It take a few minutes to solve your question.

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

Answer:

2730÷30=91

Step-by-step explanation:

take the number of books and divide it by the number of books each shelve can hold and ull get ur answer

Answer:

b=2A/h

Step-by-step explanation:

First I throw everything else to another side with A by dividing them

(A = b)/2h

then I get

b=2A/h

Step-by-step explanation:

A = 1/2 bh

divide by 1/2

2A = bh

divide by h

2A/h = b

Answer:

2) 45

3) 25

4) 50%

5) 33.3%

6) 17.6

7) 500

8) 35%

9) 60

10) 87.5%

11) 2.64

12) 25%

13) 5.7

14) 85%

16) 75%

Step-by-step explanation:

2) 9 = 20% of x

9 * 5 = 45

3) 8% of x = 2

12.5 * 2 = 25

4) 39 = x(78)

39/78 = 1/2 = 50%

5) x(36) = 12

12/36 = 1/3 = 33.3...%

6) x = 0.8(22)

22/10 = 2.2

2.2* 8 = 16 + 1.6 = 17.6

7) 55 = 0.11(x)

55/11 = 5

5 * 100 = 500

8) 7/20 = 35/100 = 35%

9) 27 = 0.45(x)

27/45 = 3/5

3/5 * 100 = 300/5 = 60

10) . 49/56 = 7/8 = 0.875 = 87.5%

11) 6/100 = 0.06

0.06 * 44 = 2.64

12) 48/192 = 6/24 = 1/4 = 25%

13) 95/100 = 0.95

0.95 * 6 = 5.40 + 0.3 = 5.7

14) 68/80 = 34/40 = 17/20 = 85%

16) 108/144 = 9/12 = 0.75 = 75%

If my answer is incorrect, pls correct me!

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-Chetan K

The mean of the data is 21.6.

The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given data

{22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7, 24.5}

Sum of observations  = 22.1 + 23.8 + 20 + 23.3 + 20.2 + 24.2 + 21.8 + 22.7 + 21.2 + 21.3 + 21.7 + 23.2 + 19.1 + 22.3 +  22.1 + 20.9 + 20.7 + 20.2 + 23.3 + 19.6 + 20.7 + 24.5 = 478.9

Number of observations = 22

Mean = [tex]\frac{Sum \ of \ observations}{Number \ of \ observations}[/tex]

Mean = [tex]\frac{478.9}{22}[/tex] = 21.6

The mean of the data is 21.6.

Find out more information about mean here

brainly.com/question/23706022

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arccos(2x) + arccos(x) = π/2

Apply cos to both sides, then expand the right side using the identity I mentioned in a comment:

cos(arccos(2x) + arccos(x)) = cos(π/2)

cos(arccos(2x)) cos(arccos(x)) - sin(arccos(2x)) sin(arccos(x)) = 0

Now think of arccos(2x) and arccos(x) as angles in two right triangles. Let θ = arccos(2x) and φ = arccos(x) (and let's also assume that both have measure between 0 and π/2). These are angles such that

cos(θ) = 2x

cos(φ) = x

In these triangles, you then have

sin(θ) = sin(arccos(2x)) = √(1 - 4x ²)

sin(φ) = sin(arccos(x)) = √(1 - x ²)

while

cos(θ) = cos(arccos(2x)) = 2x

cos(φ) = cos(arccos(x)) = x

So the original equation is transformed to

2x ² - √(1 - 4x ²) √(1 - x ²) = 0

Solve for x :

2x ² = √(1 - 4x ²) √(1 - x ²)

(2x ²)² = (√(1 - 4x ²) √(1 - x ²))²

4x ⁴ = (1 - 4x ²) (1 - x ²)

4x ⁴ = 1 - 5x ² + 4x ⁴

0 = 1 - 5x ²

x ² = 1/5

x = ± 1/√5

Now bearing in mind that we assume 0 < φ < π/2, we should have cos(φ) = x > 0, so we take the positive solution,

x = 1/√5

Answer:

4

Step-by-step explanation:

Let the number be x.

According to the question,

[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]

[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]

[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]

[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]

[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]

[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]

[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]

The number is 4.

DCB form a right angle which is 90 degrees.

The two inside angles need to equal 90

ACB = 90-65 = 25

Answer: 25

Answer:

25

Step-by-step explanation:

its correct

Answer:

a

Step-by-step explanation:

an even function is symmetrical about the y- axis

This graph has symmetry about the y- axis and so is Even

Answer:

x + y = 0

Step-by-step explanation:

The problem states that variables x and y are the same distance away from 0 on the number line. Since x is at 4, it is 4 units away from 0. Assuming that x and y cannot be the same number, y would have to be at -4, because that is the only other number besides 4 that is 4 units away from 0.

If x and y can be the same number another possibility would be that y is also 4 making x + y = 8.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

648 km

Step-by-step explanation:

distance travelled= speed * time

distance= 72kph * 9 hours

distance= 648 km

hope this helps you understand the concept

Answer:

B

Step-by-step explanation:

The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)

Answer:

(-4,8) and ( 2.5, -8)

Step-by-step explanation:

The solutions are where the two graphs intersect

They intersect at x = -4  and y = 8   and at x = 2.5  and y = -8

(-4,8) and ( 2.5, -8)

Answer:

a) 3x² + 7x + 2

b) 4x² + 2x - 12

c) x² + 8x + 12

d) π (16x² + 144)

Step-by-step explanation:

a) Rectangle

A = bh

A = 3x + 1 (x + 2)

A = 3x² + 6x + 1x + 2

A = 3x² + 7x + 2

b) Parallelogram

A = bh

A = 2x + 4 (2x - 3)

A = 4x² + (-6x) + 8x + (-12)

A = 4x² + 2x - 12

c) Trapezoid

A = a + b/2 (h)

A = [(x + 3) + (x + 9)]/2 (x + 2)

A = (2x + 12)/2 (x + 2)

A = x + 6 (x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

d) Circle

A = πr²

A = π (4x + 12)²

A = π (16x² + 144)

This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.

Answer:

b

Step-by-step explanation:

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

Consider ΔBEC

Since BE = EC, the opposite angles are congruent:

Then:

Find the angle BEC:

Comparing the above we see that:

f(x) = -x² + x + 14

f(2) = -2² + 2 + 14 = -4 + 16 = 12

f(2) = 12

Answer:

12

Step-by-step explanation:

f (x) = -x^2 + x + 14

Let x= 2

f(2) = - (2)^2 +2+14

     = -4 +2+14

  = -2 +14

  = 12

Answer:

[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]

[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]

[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]

- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

Answer:

Step-by-step explanation:

Probably it's asking for x so you have to find x in term of a and c

ax = 9c+76

x = 9c+76/a

Answer:

Step-by-step explanation:

I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.

ax-76 = 9c                Add 76 to both sides

ax = 9x + 76              Divide by a

x = (9x + 76)/a